{
  "id": "0910.2260",
  "version": "v2",
  "published": "2009-10-12T22:15:54.000Z",
  "updated": "2011-10-14T21:04:58.000Z",
  "title": "Global well-posedness for the defocusing, cubic, nonlinear Schrodinger equation when n = 3 via a linear-nonlinear decomposition",
  "authors": [
    "Benjamin Dodson"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove global well-posedness and scattering for the defocusing, cubic nonlinear Schr{\\\"o}dinger equation in three dimensions when $n = 3$ when $u_{0} \\in H^{s}(\\mathbf{R}^{3})$, $s > 3/4$. To this end, we utilize a linear-nonlinear decomposition, similar to the decomposition used in [12] for the wave equation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-14T21:04:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55"
    ],
    "keywords": [
      "nonlinear schrodinger equation",
      "linear-nonlinear decomposition",
      "global well-posedness",
      "defocusing",
      "cubic nonlinear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.2260D"
    }
  }
}